Don't have ADA4523 in the database.
Will use another op-amp like ADA4062-2. Don't checked if "equivalent". (not really).
For reference, here is a simulation showing the currents through the capacitors.
You should note that they are very "low" ...
And ... quasi "every" op-amp should do ...
Note the different "constants" (rising and falling).
TRAN Analysis, sinusoidal, 0.1 Hz and 1 Hz.
AC Analysis (Closed Loop)
Open Loop, Bode, Nyquist (simulator configuration, not checked)